Goldstone-mode effects and scaling function for the three-dimensional O(4) model

Details Goldstone-mode effects and scaling function for the three-dimensional O(4) model Goldstone-mode effects and scaling function for the three-dimensional O(4) model

1999-11-24

arxiv.org/abs/hep-lat/9911028v1

Nucl.Phys.B572:289-304,2000

Physics

High Energy Physics

High Energy Physics - Lattice

14 pages, 14 ps-figures, Latex2e

Scientific paper

10.1016/S0550-3213(00)00046-8

We investigate numerically the three-dimensional O(4) model on 24^3-120^3 lattices as a function of the magnetic field H. We verify explicitly the singularities induced by Goldstone modes in the low-temperature phase of the model, and show that they are also observed close to the critical temperature. Our results are well described by the perturbative form of the model's magnetic equation of state, with coefficients determined nonperturbatively from our data. The resulting expression is used to generate the magnetization's scaling function parametrically.

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